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2011.71: Classifying weighted projective spaces

2011.71: Anthony Bahri, Matthias Franz, Dietrich Notbohm and Nigel Ray (2011) Classifying weighted projective spaces.

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Abstract

We obtain two classifications of complex weighted projective spaces, up to homeomorphism and up to homotopy equivalence. The first turns out to coincide with Al Amrani's classification up to isomorphism of algebraic varieties, and the second follows from our proof that the Mislin genus of any weighted projective space is rigid.

Item Type:MIMS Preprint
Subjects:MSC 2000 > 51 Geometry (See also algebraic geometry)
MSC 2000 > 55 Algebraic topology
MIMS number:2011.71
Deposited By:Nigel Ray
Deposited On:14 September 2011

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